کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8896959 1630627 2018 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A conjectural characterization for Fq(t)-linear relations between multizeta values
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A conjectural characterization for Fq(t)-linear relations between multizeta values
چکیده انگلیسی
We provide a conjectural characterization for Fq(t)-linear relations between multizeta values and for the dimensions of their fixed-weight Fq(t) span, as well as many new parameterized families of relations. These two conjectures provide the function field analog of the conjectures provide by Zagier and others. In contrast to the classical case which uses regularized stuffle and shuffle products to produce relations, we will posit that all relations in the function field setting can be generated from a single relation in weight q from Thakur's stuffle product. We also prove many of the currently existing relations in the literature in this setting.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 187, June 2018, Pages 264-287
نویسندگان
,